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Finding the Third Proportional to 44,965 and 64,774.50

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Solution

The third proportional to 44,965 and 64,774.50 is: 93,311.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,965 : 64,774.50 = 64,774.50 : x
  2. Step 2: Convert to fraction form
    44,965/64,774.50 = 64,774.50/x
  3. Step 3: Cross multiply
    44,965x = 64,774.50 × 64,774.50
  4. Step 4: Simplify right side
    44,965x = 4,195,735,850.25
  5. Step 5: Solve for x
    x = 4,195,735,850.25/44,965
  6. Step 6: Final answer
    x = 93,311.15

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.